Year: 2003
Author: Luis Vázquez
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 4 : pp. 491–494
Abstract
We present a generalization of the linear one-dimensional diffusion equation by combining the fractional derivatives and the internal degrees of freedom. The solutions are constructed from those of the scalar fractional diffusion equation. We analyze the interpolation between the standard diffusion and wave equations defined by the fractional derivatives. Our main result is that we can define a diffusion process depending on the internal degrees of freedom associated to the system.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-10252
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 4 : pp. 491–494
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 4
Keywords: Fractional derivative Diffunors Diffusion process Generalized Dirac equation.